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Finding the Third Proportional to 15,270.75 and 22,875.75

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Solution

The third proportional to 15,270.75 and 22,875.75 is: 34,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270.75 : 22,875.75 = 22,875.75 : x
  2. Step 2: Convert to fraction form
    15,270.75/22,875.75 = 22,875.75/x
  3. Step 3: Cross multiply
    15,270.75x = 22,875.75 × 22,875.75
  4. Step 4: Simplify right side
    15,270.75x = 523,299,938.06
  5. Step 5: Solve for x
    x = 523,299,938.06/15,270.75
  6. Step 6: Final answer
    x = 34,268.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.